On the Solution of a Locally Finite System of Linear Inequalities with Graph Structure
We propose a method for the solution of a locally finite system of linear inequalities that arises in the course of solution of problems of control over resource in networks with generalized Kirchhoff law. We present a criterion for a system of inequalities to have the graph structure.
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| Datum: | 2001 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2001
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4279 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510410273193984 |
|---|---|
| author | Ostapenko, V. V. Finin, G. S. Остапенко, В. В. Фінін, Г. С. |
| author_facet | Ostapenko, V. V. Finin, G. S. Остапенко, В. В. Фінін, Г. С. |
| author_sort | Ostapenko, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:45Z |
| description | We propose a method for the solution of a locally finite system of linear inequalities that arises in the course of solution of problems of control over resource in networks with generalized Kirchhoff law. We present a criterion for a system of inequalities to have the graph structure. |
| first_indexed | 2026-03-24T02:56:33Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4279 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:56:33Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/61/fe17a67239718c876ea6434fb1ae5961.pdf |
| spelling | umjimathkievua-article-42792020-03-18T20:25:45Z On the Solution of a Locally Finite System of Linear Inequalities with Graph Structure Розв'язок локально скінчепної системи лінійних нерівностей зі структурою графа Ostapenko, V. V. Finin, G. S. Остапенко, В. В. Фінін, Г. С. We propose a method for the solution of a locally finite system of linear inequalities that arises in the course of solution of problems of control over resource in networks with generalized Kirchhoff law. We present a criterion for a system of inequalities to have the graph structure. Запропоновано cnoci6 розв'язання локально скінченної системи лінійних нерівностей, що виникає при розв'язанні задач управління ресурсом в сітках з узагальненим законом Юрхгофа. Наведено критерий, коли система неровностей має структуру графа. Institute of Mathematics, NAS of Ukraine 2001-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4279 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 4 (2001); 568-571 Український математичний журнал; Том 53 № 4 (2001); 568-571 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4279/5262 https://umj.imath.kiev.ua/index.php/umj/article/view/4279/5263 Copyright (c) 2001 Ostapenko V. V.; Finin G. S. |
| spellingShingle | Ostapenko, V. V. Finin, G. S. Остапенко, В. В. Фінін, Г. С. On the Solution of a Locally Finite System of Linear Inequalities with Graph Structure |
| title | On the Solution of a Locally Finite System of Linear Inequalities with Graph Structure |
| title_alt | Розв'язок локально скінчепної системи лінійних нерівностей зі структурою графа |
| title_full | On the Solution of a Locally Finite System of Linear Inequalities with Graph Structure |
| title_fullStr | On the Solution of a Locally Finite System of Linear Inequalities with Graph Structure |
| title_full_unstemmed | On the Solution of a Locally Finite System of Linear Inequalities with Graph Structure |
| title_short | On the Solution of a Locally Finite System of Linear Inequalities with Graph Structure |
| title_sort | on the solution of a locally finite system of linear inequalities with graph structure |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4279 |
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